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4320114012 = 2232237371473
BaseRepresentation
bin1000000010111111…
…11011010101011100
3102011002001112022200
410001133323111130
532321422122022
61552403011500
7212025235404
oct40137732534
912132045280
104320114012
111917656665
12a06969b90
1353b0427a6
142cda81804
151a4408bac
hex1017fb55c

4320114012 has 72 divisors (see below), whose sum is σ = 11551341984. Its totient is φ = 1358539776.

The previous prime is 4320113983. The next prime is 4320114017. The reversal of 4320114012 is 2104110234.

It is a super-3 number, since 3×43201140123 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4320114017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24708 + ... + 96180.

Almost surely, 24320114012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4320114012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775670992).

4320114012 is an abundant number, since it is smaller than the sum of its proper divisors (7231227972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4320114012 is a wasteful number, since it uses less digits than its factorization.

4320114012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71579 (or 71574 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4320114012 is about 65727.5742135673. The cubic root of 4320114012 is about 1628.6648974319.

Adding to 4320114012 its reverse (2104110234), we get a palindrome (6424224246).

The spelling of 4320114012 in words is "four billion, three hundred twenty million, one hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 73 92 138 146 207 219 276 292 414 438 657 828 876 1314 1679 2628 3358 5037 6716 10074 15111 20148 30222 60444 71473 142946 214419 285892 428838 643257 857676 1286514 1643879 2573028 3287758 4931637 5217529 6575516 9863274 10435058 14794911 15652587 19726548 20870116 29589822 31305174 46957761 59179644 62610348 93915522 120003167 187831044 240006334 360009501 480012668 720019002 1080028503 1440038004 2160057006 4320114012